40936129920 has 768 divisors, whose sum is σ = 173081825280. Its totient is φ = 9047531520.

The previous prime is 40936129873. The next prime is 40936129921. The reversal of 40936129920 is 2992163904.

It is a happy number.

40936129920 is a `hidden beast` number, since 4 + 0 + 9 + 3 + 612 + 9 + 9 + 20 = 666.

40936129920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40936129921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33747234 + ... + 33748446.

It is an arithmetic number, because the mean of its divisors is an integer number (225366960).

Almost surely, 2^40936129920 is an apocalyptic number.

40936129920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40936129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86540912640).

40936129920 is an abundant number, since it is smaller than the sum of its proper divisors (132145695360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40936129920 is a wasteful number, since it uses less digits than its factorization.

40936129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 40936129920 in words is "forty billion, nine hundred thirty-six million, one hundred twenty-nine thousand, nine hundred twenty".